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    • CommentRowNumber1.
    • CommentAuthorTobyBartels
    • CommentTimeAug 20th 2012

    New page dual space with redirect from dual basis.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 20th 2012

    Notice that there was already an entry dual vector space.

    Generally I find we need to be careful with using the unadorned word “space” in entry titles. It means so many different things.

    • CommentRowNumber3.
    • CommentAuthorTobyBartels
    • CommentTimeAug 20th 2012

    Oops, I thought that I checked for that … and it turns out that I even edited it before!

    I’ve combined the pages.

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeAug 20th 2012

    @Toby: since you seemed to have accomplished the merge successfully, can you tell me the exact steps you took? In particular, avoiding the cache bug and so forth? (I asked you this over at the double negation thread as well.)

    • CommentRowNumber5.
    • CommentAuthorTobyBartels
    • CommentTimeAug 21st 2012

    I have no idea how I avoided the cache bug; I don’t understand it at all. Otherwise, I answered at the other thread.

    • CommentRowNumber6.
    • CommentAuthorTobyBartels
    • CommentTimeAug 21st 2012

    @Urs:

    Generally I find we need to be careful with using the unadorned word “space” in entry titles. It means so many different things.

    Normally I’d agree; or rather, I’d say that it should be used in entry titles only when those entries (at least potentially) cover the full generality (or when the entry is on a specific kind of space, of course). But here I don’t think that there’s any other meaning. (See also my remarks in the current Idea section.)

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeAug 21st 2012

    Mightn’t a Spanier-Whitehead dual also be called a “dual space”?

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeAug 21st 2012

    And then there are mirror dual Calabi-Yau spaces, and AdS/CFT dual spacetimes and so forth. There are just too many notions of “space” “duality” out there.

    • CommentRowNumber9.
    • CommentAuthorTobyBartels
    • CommentTimeAug 22nd 2012

    OK, I added a bit to the Idea section, but maybe somebody wants to create dual space to disambiguate? (I’ve written a lot of links lately to dual space from articles on Banach spaces, but those could be fixed.)

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeAug 22nd 2012
    • (edited Aug 22nd 2012)

    Ok, I created a brief disambiguation page dual space and tried to make most of the links originally pointing to this point to dual vector space.

    • CommentRowNumber11.
    • CommentAuthorTobyBartels
    • CommentTimeAug 22nd 2012

    Thanks, I changed a couple of others.